# Maths 200 Level

221 Differential Equations for Engineers
Covers first order linear and non-linear ordinary differential equations; ordinary
differential equations of higher order with constant coefficients; applications
to engineering problems; power series solutions; Laplace transforms; periodic
functions; applications of Laplace transforms to linear systems; Fourier series.
Credit will be granted for only one of MATH 221 or MATH 367. Cross-listed as
ENGR 221. Prerequisite: MATH 122. Three credits and two-hour problem session.

222 Calculus III for Engineers
Extends the ideas introduced in MATH 121 to the calculus of several variables, and
covers space curves, arclength, curvature; partial derivatives; implicit functions;
constrained and unconstrained extrema; multiple integrals; line, surface, and
volume integrals; change of variables in multiple integrals; scalar and vectors fields;
gradient, divergence, and curl; Stokes theorem. Credit will be granted for only one
of MATH 222 or MATH 267. Cross-listed as ENGR 222. Prerequisite: MATH 122.
Three credits and two-hour problem session.

223 Linear Algebra for Engineers
Covers geometric vectors in three dimensions; dot product; cross product; lines
and planes; complex numbers; systems of linear equations; matrix algebra;
matrix inverse; determinants; Cramer’s rule; introduction to vector spaces;
linear independence and bases; rank; linear transformations; orthogonality and
applications; Gram-Schmidt algorithm; eigenvalues and eigenvectors. Credit will
be granted for only one of MATH 223 or MATH 253. Cross-listed as ENGR 123.
Prerequisites: MATH 122. Three credits and two-hour problem session.

Evidence-based decision-making in business required the use of the mathematical
models to analyze data and to help identify and assess possible answers to what-if
questions. This course introduces the student to what should be considered when
using mathematical models for business. Topics include model construction,
analyzing and modeling data sets, optimization, risk analysis and model testing.
Prerequisite: MATH 106 or 126(111) or 105. Three credits.

253 Matrix Algebra
An introduction to solution of linear systems, algebra of matrices, determinants,
two- and three-dimensional vector spaces, and the matrix eigenvalue problem.
Credit will be granted for only one of MATH 253 or MATH 223. Prerequisite: MATH
101/102 or 106 or 126 or 121 or CSCI 162. Three credits.

254 Linear Algebra
An introduction to abstract vector spaces, including discussion of bases, dimension
and homomorphisms of vector spaces; linear transformations, including invariant
subspaces; matrix representations and diagonalization procedures. Prerequisite:
MATH 253 and one of MATH 107, 122, 127. Three credits.

267 Calculus III
Topics include the Taylor polynomial theorem; indeterminate forms and l’Hôpital’s
rule; improper integrals; infinite and power series and tests of convergence;
parametric equations; partial differentiation; and selected concepts from multivariate
differential calculus, and multiple integration. Credit will be granted for only one of
MATH 267 or MATH 222. Prerequisite: MATH 107 or 127(112) or 122. Three credits.

277 Discrete Structures
An introduction to sets, binary relations and operations; induction and recursion;
partially ordered sets; simple combinations; truth tables; Boolean algebras and
elementary group theory, with applications to logic networks, trees and languages;
binary coding theory and finite-state machines. Cross-listed as CSCI 277.
Prerequisite: MATH 101/102 or 107 or 127(112) or 122 or CSCI 162. Three credits.

287 Natural Resource Modelling
The course covers formulating real-world problems from renewable natural
resources; using software to solve mathematical models; formulating and testing
policies for managing dynamic systems; and developing communication skills
through report writing. Prerequisite: MATH 107 or 127(112). Three credits. Offered
2017-2018 and in alternate years.